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Finding the Fourth Proportional to 369.56, 554.25 and 109.50

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Solution

The fourth proportional to 369.56, 554.25 and 109.50 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 554.25 = 109.50 : x
  2. Step 2: Convert to fraction form
    369.56/554.25 = 109.50/x
  3. Step 3: Cross multiply
    369.56x = 554.25 × 109.50
  4. Step 4: Simplify right side
    369.56x = 60,690.38
  5. Step 5: Solve for x
    x = 60,690.38/369.56
  6. Step 6: Final answer
    x = 164.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.